9 citations · 18 across the 11 of their papers we have counts for
12 papers
The square root problem for second order, divergence form operators with mixed boundary conditions on
Pascal Auscher, Nadine Badr, Robert Haller-Dintelmann +1
We show that, under general conditions, the operator with mixed boundary conditions provides a topological isomorphism between $W^{1,p…
A Meyers type regularity result for approximations of second order elliptic operators by Galerkin schemes
Nadine Badr, Emmanuel Russ
We prove a Meyers type regularity estimate for approximate solutions of second order elliptic equations obtained by Galerkin methods. The proofs rely on interpolation results for S…
Algebra properties for Sobolev spaces- Applications to semilinear PDE's on manifolds
Nadine Badr, Frederic Bernicot, Emmanuel Russ
In this work, we aim to prove algebra properties for generalized Sobolev spaces on a Riemannian manifold, where is of Bessel-type $W^{s,p}:=(1+L)^…
New Calderón-Zygmund decompositions
Nadine Badr, Frédéric Bernicot
We state a new Calderon-Zygmund decomposition for Sobolev spaces on a doubling Riemannian manifold. Our hypotheses are weaker than those of the already known decomposition which us…
An atomic decomposition of the Hajłasz Sobolev space $\Mone$ on manifolds
Nadine Badr, Galia Dafni
Several possible notions of Hardy-Sobolev spaces on a Riemannian manifold with a doubling measure are considered. Under the assumption of a Poincaré inequality, the space $\Mone$,…
Abstract Hardy-Sobolev spaces and interpolation
Nadine Badr, Frederic Bernicot
The purpose of this work is to describe an abstract theory of Hardy-Sobolev spaces on doubling Riemannian manifolds via an atomic decomposition. We study the real interpolation of…